The larger of two numbers is 8 more than four times the smaller. If the larger is increased by four times the smaller, the result Is 40. What are the two numbers?

Let x be your smaller number.

4x+8=larger number

4x+8+4x=40 (if the larger is increased by four times the smaller, the result is 40

8x+8=40

8x+8-8=40-8

8x=32

8/8x=32/8

x=4

smaller number is 4, and

4 (4) + 8=x

16+8=24

the larger number is 24